A juggler throws balls vertically up in the air. He throws one up whenever the previous one is at its highest point. If he throws n balls in each second, the height to which each ball rises above the point of throw will be (g is acceleration due to gravity)

• A

  $\frac{\mathrm{g}}{2{\mathrm{n}}^2}$

• B

  $\frac{2\mathrm{g}}{{\mathrm{n}}^2}$

• C

  $\frac{4\mathrm{g}}{{\mathrm{n}}^2}$

• D

  $\frac{\mathrm{g}}{4{\mathrm{n}}^2}$